106357613 has 2 divisors, whose sum is σ = 106357614. Its totient is φ = 106357612.

The previous prime is 106357607. The next prime is 106357711. The reversal of 106357613 is 316753601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81775849 + 24581764 = 9043^2 + 4958^2 .

It is a cyclic number.

It is not a de Polignac number, because 106357613 - 2¹⁴ = 106341229 is a prime.

It is a super-3 number, since 3×106357613³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106357613.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106357213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53178806 + 53178807.

It is an arithmetic number, because the mean of its divisors is an integer number (53178807).

Almost surely, 2^106357613 is an apocalyptic number.

It is an amenable number.

106357613 is a deficient number, since it is larger than the sum of its proper divisors (1).

106357613 is an equidigital number, since it uses as much as digits as its factorization.

106357613 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 106357613 is about 10312.9827402163. The cubic root of 106357613 is about 473.7939679746.

The spelling of 106357613 in words is "one hundred six million, three hundred fifty-seven thousand, six hundred thirteen".